Theorems · Theorem · algebraic topology

Topology.RelCWComplex.iUnion_cellFrontier_subset_skeletonLT

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : T2Space X] [inst_1 : Topology.RelCWComplex C D] (l : ℕ),
  ⋃ j, Topology.RelCWComplex.cellFrontier l j ⊆ ↑(Topology.RelCWComplex.skeletonLT C ↑l)

Defined in: Mathlib.Topology.CWComplex.Classical.Basic
Cited by: 2 results in Mathlib
Foundations: Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace T2Space Topology.RelCWComplex

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites13

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
SetLike.coestatement · cited by 8,199
ENatstatement · cited by 4,985
Set.iUnionstatement · cited by 2,483
T2Spacestatement and proof · cited by 1,351
Topology.RelCWComplexstatement and proof · cited by 195
Topology.RelCWComplex.cellstatement and proof · cited by 194
Topology.RelCWComplex.Subcomplexstatement · cited by 110
Set.iUnion_subsetproof · cited by 51
Topology.RelCWComplex.cellFrontierstatement · cited by 45
Topology.RelCWComplex.skeletonLTstatement · cited by 34

Cited by2

Results whose statement or proof uses this declaration.

Topology.RelCWComplex.iUnion_cellFrontier_subset_skeletonproof · cited by 1
Topology.CWComplex.iUnion_cellFrontier_subset_skeletonLTproof · cited by 0